Information on Result #3046661
There is no (51, 167, 167)-net in base 3, because 5 times m-reduction would yield (51, 162, 167)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3162, 167, S3, 111), but
- the (dual) Plotkin bound shows that M ≥ 15 926791 088519 786003 064148 590679 881418 931379 526481 396121 112548 658575 277686 941529 / 56 > 3162 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.